Tabulkové derivace Flashcards
1
Q
e^x
A
e^x
2
Q
a^x
A
a^x * ln a
3
Q
ln x
A
1/x
4
Q
log o základu ‘a’ z ‘x’
A
1 / (x * ln a)
5
Q
x^a
A
a*x^(a-1)
6
Q
sin x
A
cos x
7
Q
cos x
A
-sin x
8
Q
tg x
A
1 / (cos^2 x)
9
Q
cotg x
A
-1 / (sin^2 x)
10
Q
arcsin x
A
1 / sqrt(1 - x^2)
11
Q
arccos x
A
-1 / sqrt(1 - x^2)
12
Q
arctg x
A
1 / (x^2 + 1)
13
Q
arccotg x
A
-1 / (x^2 + 1)
14
Q
sinh x
A
cosh x
15
Q
cosh x
A
sinh x
16
Q
tgh x
A
1 / (cosh^2 x)
17
Q
cotgh x
A
-1 / (sinh^2 x)
18
Q
argsinh x
A
1 / sqrt(x^2 + 1)
19
Q
argcosh x
A
1 / sqrt(x^2 - 1)
20
Q
argcotgh x
A
1 / (1 - x^2)
21
Q
argtgh x
A
1 / (1 - x^2)
22
Q
(f * g)’
A
f’g + g’f
23
Q
(f / g)’
A
(f’g - g’f) / (g^2)
24
Q
(f(g))’
A
f’(g) * g’
